[GSoC] decision tree first steps

Prathamesh Kulkarni bilbotheelffriend@gmail.com
Fri Jun 6 09:02:00 GMT 2014


On Mon, Jun 2, 2014 at 6:14 PM, Richard Biener
<richard.guenther@gmail.com> wrote:
> On Mon, Jun 2, 2014 at 1:16 PM, Prathamesh Kulkarni
> <bilbotheelffriend@gmail.com> wrote:
>> I have few questions regarding genmatch:
>>
>> a) Why is 4 hard-coded here: ?
>> in write_nary_simplifiers:
>>  fprintf (f, "      tree captures[4] = {};\n");
>
> Magic number (this must be big enough for all cases ...).  Honestly
> this should be improved (but requires another scan over the matcher IL
> to figure out the max N used in @N).
>
>> b) Should we add syntax for a symbol to denote multiple operators ?
>> For exampleim in simplify_rotate:
>> (X << CNT1) OP (X >> CNT2) with OP being +, |, ^  (CNT1 + CNT2 ==
>> bitsize of type of X).
>
> Something to enhance the IL with, yes.  I'd say we support
>
> (define_op additive PLUS_EXPR MINUS_EXPR POINTER_PLUS_EXPR)
>
> thus,
>
> (define_op <operator-name> op...)
>
>> c) Remove for parsing capture in parse_expr since we reject outermost
>> captured expressions ?
>
> but parse_expr is also used for inner expressions, no?
>
> (plus (minus@2 @0 @1) @3)
>
> should still work
>
>> d) I am not able to follow this comment in match.pd:
>> /* Patterns required to avoid SCCVN testsuite regressions.  */
>>
>> /* (x >> 31) & 1 -> (x >> 31).  Folding in fold-const is more
>>    complicated here, it does
>>      Fold (X << C1) & C2 into (X << C1) & (C2 | ((1 << C1) - 1))
>>      (X >> C1) & C2 into (X >> C1) & (C2 | ~((type) -1 >> C1))
>>      if the new mask might be further optimized.  */
>> (match_and_simplify
>>   (bit_and (rshift@0 @1 INTEGER_CST_P@2) integer_onep)
>>   if (compare_tree_int (@2, TYPE_PRECISION (TREE_TYPE (@1)) - 1) == 0)
>>   @0)
>
> The comment is literally copied from the case I extracted the
> (simplified) variant from fold-const.c.  See lines 11961-12056 in fold-const.c.
> It'll be a challenge to implement the equivalent in a pattern ;)
>
>>
>> Decision Tree.
>>     I have tried to come up with a prototype for decision tree (patch attached).
>> For simplicity, it handles patterns involving only unary operators and
>> no predicates
>> and returns false when the pattern fails to match (no goto to match
>> another pattern).
>> I meant to post it only for illustration, and I have not really paid
>> attention to code quality (bad formatting, memory leaks, etc.).
>>
>> * Basic Idea
>> A pattern consists of following parts: match, ifexpr and result.
>> Let's call <ifexpr, result> as "simplification" operand.
>> The common prefix between different match operands would be represented
>> by same nodes in the decision tree.
>>
>> Example:
>> (negate (bit_not @0))
>> S1
>>
>> (negate (negate @0))
>> S2
>>
>> S1, S2 denote simplifications for the above patterns respectively.
>>
>> The decision tree would look something like
>> (that's the way it gets constructed with the patch):
>>
>>                 dummy/root
>>                         |
>>            NEGATE_EXPR
>>              /                  \
>>      BIT_NOT           NEGATE_EXPR
>>            |                         |
>>          @0                     @0
>>            |                         |
>>          S1                      S2
>>
>> a) The children of an internal node are number of decisions that
>> can be taken at that node. In the above case it's 2 for outer NEGATE_EXPR.
>> b) Simplification operand represents leaves of the decision tree
>> c) Instead of having list of heads, I have added one dummy node,
>> and heads become children of these dummy root node.
>> d) Code-gen for non-simplification operands involves generating,
>> "matching" code and for simplification operands involves generating
>> "transform" code
>>
>> * Overall Flow:
>> I guess we would build the decision tree from the AST.
>> So the flow would be like:
>> source -> struct simplify (match, ifexpr, result) -> decision tree -> c code.
>>
>> Something like (in main):
>> decision_tree dt;
>> while (there is another pattern)
>> {
>>   simplify *s = parse_match_and_simplify ();
>>   insert s into decision tree;
>> };
>> So parsing routines are concerned with parsing and building the AST (operand),
>> and not with the decision tree. Is that fine ?
>
> Yes, that's good.
>
>> * Representation of decision tree.
>> A decision tree would need a way to represent language constructs
>> like capture, predicate, etc. so in some ways it would be similar to AST.
>> It
>> In the patch, I have created the following heirarchy:
>> dt_operand: represents a general base "operand" of in decision tree
>> dt_expr: for representing expression. Expression contains operation
>> to be performed (e_operation).
>> dt_capture: analogous to capture.
>> dt_simplify: for representing "simplification" operand.
>> simplification consists of ifexpr and result
>> dt_head: to represent "dummy" root. Maybe a separate class is not needed.
>>
>> * Constructing decision tree from AST
>> The algorithm i have used is similar to inserting string in a trie
>> outlined here: http://en.wikipedia.org/wiki/Trie
>> The difference shall be to traverse AST depth-first rather than
>> traversing the string.
>> Apart from that I guess it would be the same (naturally find and
>> compare operations would be different).
>> I haven't given much thought about this. Currently, I construct
>> decision tree for only patterns with unary operators in an
>> ugly way by "flattening" the AST by walking it in pre-order and
>> storing the nodes in vector in the order they are visited
>>
>> So to construct decision tree from the following AST:
>>           negate
>>               |
>>           bit_not
>>               |
>>              @0
>>
>> AST is flattened by walking in preorder (by walk_operand_preorder) and stored
>> as: [ expr, expr, capture ]
>> and this vector is used to construct decision tree.
>> I did it as a "quick and dirty" way, it has to be changed.
>> And it won't work for patterns with n-ary operators.
>>
>> We should visit each node of AST in preorder, and add that node
>> during traversal to decision tree. I am not yet clear on way of doing that.
>>
>> * Comparing operands
>> How do we compare operands ? We shall need to do this while inserting
>> in decision tree, since if the operand is already inserted we do not create
>> a new node.
>> In the patch (cmp_operand), I have used following rules:
>> a) if types not equal, they are clearly not equal.
>> b) if type is expr, compare operation->op->id
>> c) if type is capture, compare the number.
>> d) for predicate, compare on ident ?
>>
>> * Representing patterns with n-ary operators.
>> Consider following two match operands:
>> (plus (minus @0 @1) @1)
>> (plus (negate @0) @1)
>>
>> In decision tree, it would be represented as:
>>
>>             *********plus*********
>>                /    \          /        \
>>           minus  @1  negate  @1
>>             /     \           |
>>         @0   @1       @0
>>
>> plus has got 4 children - (minus @0 @1), @1, (negate @0), @1.
>> However (minus @0 @1) and @1 are not separate "decisions", but
>> children of plus within the same expression.
>>
>> For calculating number of decisions at an expression node:
>> number of decisions =  number of children / arity of operator.
>> in the above case, number of decision = 4 / 2 = 2
>>
>> For other cases, for instance capture node (the children would be
>> simplification operand),
>> number of decisions = number of children.
>
> Hmm.  I think it should be only two children from the plus,
> as pre-order for the first pattern is for example
> [plus minus @0 @1 @1] so you'd have
>
>    plus
>    /     \
> minus  negate
> |           |
> @0     @0
> |           |
> @1     @1
> |
> @1
>
> instead?
>
> Note that you probably have to deal with non-matching capture
> IDs by re-writing them on-the-fly.  That is, the two
> pre-oder traversals [plus minus @1 ...] and [plus minus @0 ...]
> should commonize with renaming the non-matching capture
> somehow.
Um, could you please elaborate on that (non-matching capture ?),
I am not sure if I understood it fully, thanks.

I have attached patch for patterns with binary operators (in principle
should work for n-ary operators,
but have only tested upto 2), that creates decision tree for
patterns (excluding predicates, and multiple matching). I don't intend
to commit this (contains many hacks!).

* Constructing decision tree from AST
We can define our decision tree to store prefixes of preorder
traversals of diffferent AST.
Insertion happens as follows (decision_tree::insert)
a) Get preorder traversal of AST into vector.
b) Insert AST nodes from vector into decision tree.
Currently, I obtain preorder traversal into a vector. We can later
change it to compute
next preorder successor lazily.

* Code-gen
For n-ary operators, the patch generates code as follows:
if (code == <expr code>)
{
   match operand 0
     match operand 1
        ....
          match operand n-1
            transform
            return true;
}

* Adding parent, level, pos fields to AST (operand).
One change (hack), I have made to code-gen, is naming of operands that are
assigned to gimple_assign_rhs in code-gen of expressions.
I am not sure if this is really needed.

in AST, we have following representation for expressions:
                      expr-
                     /       \
                  left      right
               operand  operand

code-gen off AST (expr::gen_gimple_match) produces code like:
{
  tree op = gimple_assign_rhs1 (def_stmt);
  // code-gen for left operand
}
{
  tree op = gimple_assign_rhs2 (def_stmt);
  // code-gen for right operand
}

We can do this since, in expr::gen_gimple_match, we call
left_operand->gen_gimple_match,
come back to expr::gen_gimple_match (after
left_operand->gen_gimple_match() returns), and
then call right_operand->gen_gimple_match().

However in decision tree, the expression gets represented as follows:
           expr
             |
           left-operand
             |
           right-operand

dt_expr::gen_gimple calls left_operand->gen_gimple, which calls
right_operand->gen_gimple,
so we return to dt_expr::gen_gimple, after code is generated for the
whole subtree of expr.

So I assign operands at the start before generating code for the subtree:
tree op00 = gimple_assign_rhs1 (def_stmt);
tree op10 = gimple_assign_rhs2 (def_stmt);
<code for left-operand>
  <code for right-operand>
each of the operands know their positions, so they know which operand
to use (get_op_name()).
the names are generated as:
op<position><level>, position = index of operand in it's parent's
expr's vector (vec<operand *> ops).
level: level of AST, at which the operand is stored.

For this I added three fields to operand (unsigned pos, and unsigned
level, operand *parent), and accordingly
made changes to expr::append_op. In a way this is abusing the AST.
This probably works (works with test-cases i tried), but I don't like it much.

* Order of matching.
Currently the order of matching operands is strictly 0, 1, .. n - 1
for n-ary operator.
However this might not be the best choice.

For example, consider following patterns:
(operator  op1  op) S1
(operator  op2 op)  S2

Both have common operator, and 1st common operand, they differ in 0th operand.
With patch, the code generated is:
if (code == <expr-code>)
{
  match op1
     match op
       S1

  match op2
    match op
      S2
}

A better ordering would be to match the 1st operand and then
respective 0th operands of both patterns:

if (code == <expr-code>
{
  match op
    match op1
      S1
    match op0
      S2
}

This complicates insertion into decision tree.

* hack: only one generated gimple_match_and_simplify function
In the patch, I generate code for gimple_match_and_simplify with 3
operands version (op0, op1, op2)
and the other two (unary and binary versions), call it with NULL_TREE
for extra operands.
I will soon change that.

* Testing patterns.
I think I have written most of the test-cases wrongly in match-2.c
For example this test-case doesn't match
(i haven't checked in "fix testsuite fallout" patch, so this might not be true
anymore)

(match_and_simplify
  plus (minus @0 @1) @1)
  @0)

for this test-case:
/* (x - y) + y -> x */
int f6(int x, int y)
{
  int t1 = x - y;
  return t1 + y;
}
/* { dg-final { scan-tree-dump "gimple_match_and_simplified to
\[^\n\r\]*= x_\\d\+\\(D\\)" "forwprop1" } } */

I get following output (tree-forwprop-details):

;; Function f6 (f, funcdef_no=0, decl_uid=1744, symbol_order=0)

gimple_match_and_simplified to _4 = y_2(D) + t1_3;
f (int x, int y)
{
  int t1;
  int _4;

  <bb 2>:
  t1_3 = x_1(D) - y_2(D);
  _4 = x_1(D);
  return _4;

}

Shouldn't it show: gimple_match_and_simplified to _4 = x_1(D) instead ?

The issue is this test-case fails in isolation, however it passes when
it is placed with other
test cases that PASS and have same regex in scan-tree-dump as this test-case:
scan-tree-dump "gimple_match_and_simplified to \[^\n\r\]*= x_\\d\+\\(D\\)"

Summary:
I think we need to (at-least) deal with following problems for decision tree:
a) Representation and construction of decision tree from AST -
We do this by storing prefixes of preorder traversals of AST in
decision tree. Do we finalize on that ?
b) Order of operand matching
c) Generating patterns for built-in functions (I guess this will be
similar to expr-gen).
d) Multiple matching patterns
e) Commutative ops

Pattern Enhancements:
Some of these were already discussed, I am jotting them here:
a) Symbol for multiple operators
b) grouping patterns by ifexpr
c) should we have MATCH_FAILED or FAIL to explicitly denote failure in
manual transform (c_expr) ?
d) making operators to be commutative.

Once the decision tree is done, I can try working on these.
Till Sunday, I will attempt to have another prototype, that covers
most of the patterns in match.pd
(except for cond_expr, and those requiring GENERIC support), and
accompanying correct test-case
for each pattern. And next-week start working on a fair patch.

Thanks and Regards,
Prathamesh
>
> Richard.
>
>> * Code generation.
>> Code shall be generated by walking the decision tree.
>> The way it's constructed, there's no difference between code generation
>> for "matching" and code generation for "transform". For non-simplificaton
>> operands, "matching" code is generated, and for "simplification" operands,
>> "transform" code is generated. The tree shall be walked twice,
>> once to generate GIMPLE code and second time for GENERIC.
>> For simplicity, I currently return false whenever there's a fail in match,
>> instead of trying to match the next pattern.
>>
>> Code-gen for capture - same as capture::gen_gimple_match.
>>
>> Code-gen for predicate -  I haven't added support for predicate in
>> decision tree yet, but I guess that would be the same as
>> predicate::gen_gimple_match
>>
>> Code-gen for expr.
>> There are two types of code-gen for expr.
>> The patch generates following code:
>> Type 1 - expr is child of root node.
>> the only code that gets generated is (in decision_tree::gen_gimple):
>> if (code == <expr code>)
>> {
>> tree captures[4] = {}
>> <generated code for children>
>> }
>> This is similar to generating matching code in write_nary_simplifiers.
>>
>> Type 2 - expr_1 is a child of another expr_0 node.
>> The code gets generated as follows (dt_expr::gen_gimple):
>> {
>> gimple def_stmt = SSA_NAME_DEF_STMT (op);
>> if (is_gimple_assign (def_stmt)
>>     && gimple_assign_rhs_code (def_stmt) == <expr_1-code>)
>> {
>> tree op = gimple_assign_rhs1 (def_stmt);
>> if (valueize && TREE_CODE (op) == SSA_NAME)
>> {
>>   op = valueize (op);
>>   if (!op) return false;
>> }
>> <code-gen for children of expr_1 node>
>> }
>>
>> Example:
>> (negate (negate @0))
>> S1
>>
>> (negate (bit_not @0))
>> S2
>>
>> decision tree:
>>
>>                 dummy/root
>>                         |
>>            NEGATE_EXPR
>>              /                  \
>>      BIT_NOT           NEGATE_EXPR
>>            |                         |
>>          @0                     @0
>>            |                         |
>>          S1                      S2
>>
>> // code-gen for NEGATE_EXPR (child of root):
>> if (code == NEGATE_EXPR)
>> {
>> tree captures[4] = {};
>> // code gen for BIT_NOT_EXPR
>> {
>> gimple def_stmt = SSA_NAME_DEF_STMT (op0);
>> if (is_gimple_assign (def_stmt)
>>     && gimple_assign_rhs_code (def_stmt) == BIT_NOT_EXPR)
>> {
>> tree op = gimple_assign_rhs1 (def_stmt);
>> if (valueize && TREE_CODE (op) == SSA_NAME)
>> {
>>   op = valueize (op);
>>   if (!op) return false;
>> }
>>
>> // code-gen for @0, child of BIT_NOT_EXPR
>> if (!captures[0])
>>   captures[0] = op;
>> else if (captures[0] != op)
>>   return false;
>>
>> // code-gen for S1, child of @0
>> < same as code generated by .gen_gimple_transform >
>> return true;
>> }
>> // code gen for inner NEGATE_EXPR
>> {
>> gimple def_stmt = SSA_NAME_DEF_STMT (op0);
>> if (is_gimple_assign (def_stmt)
>>     && gimple_assign_rhs_code (def_stmt) == NEGATE_EXPR)
>> <rest similar to the BIT_NOT case>
>> }
>>
>> The following gets duplicated with the patch:
>> {
>> gimple_def_stmt = SSA_NAME_DEF_STMT (op0);
>> if (TREE_CODE (op0) != SSA_NAME)
>>   return false;
>> if (is_gimple_assign (def_stmt)
>>     && gimple_assign_rhs_code (def_stmt) == <expr-code>)
>> ...
>> }
>>
>> Improving code-gen for expr:
>> "gimple def_stmt = ..." and "if (TREE_CODE (op0)" get duplicated,
>> while they could be factored out, similar to this:
>>
>> {
>> gimple def_stmt = SSA_NAME_DEF_STMT (op0);
>> if (TREE_CODE (op0) != SSA_NAME)
>>   return false;
>> if (!is_gimple_assign (def_stmt))
>>   return false;
>> if (gimple_assign_rhs_code (def_stmt) == BIT_NOT_EXPR)
>> {
>>   // code-gen for BIT_NOT_EXPR subtree
>> }
>> else if (gimple_assign_rhs_code (def_stmt) == NEGATE_EXPR)
>> {
>>   // code-gen for NEGATE_EXPR subtree
>> }
>>
>> For factoring "gimple def_stmt ..." and "if (TREE_CODE (op0) != SSA_NAME"
>> we could have that generated at the parent of expr's node rather than
>> at expr. However that would be incorrect for cases where not all children
>> of a node are expressions:
>>
>> Example:
>> // patterns only for illustration
>> (negate (bit_not @0))
>> (negate @0)
>>
>>                    root
>>                      |
>>                   negate
>>                     /       \
>>                 bit_not   @0
>>                     |
>>                   @0
>>
>> we cannot have the above code generated at negate,
>> since it's not applicable negate's 2nd child (@0).
>>
>> This can be done by grouping together children that are expressions.
>> However the patch does not do that.
>>
>> * Code-gen for simplification operand
>> This involves code-gen for ifexpr and result of pattern.
>> Calls gen_gimple_transform of ifexpr and result (dt_simplify::gen_gimple)
>> So this is really code-gen off AST
>
> Right (modulo replacing captures with their replacements).
>
>> * Matching multiple patterns
>> A pattern has following parts: match, ifexpr and result.
>> If pattern fails in match operand, I guess we can safely return false ?
>> We "club" together patterns that have same match operand,
>> and use goto, if one of them fails in their (ifexpr/result) and then goto the
>> (ifexpr/result) of the next operand.
>>
>> Example:
>> /* x & 0 -> 0 */
>> (match_and_simplify
>>   (bit_and @0 @1)
>>   if (INTEGRAL_TYPE_P (TREE_TYPE (@0)) && (@1 == integer_zero_node))
>>   { integer_zero_node; })
>>
>> /* x & -1 -> x */
>> (match_and_simplify
>>   (bit_and @0 @1)
>>   if (INTEGRAL_TYPE_P (TREE_TYPE (@0))
>>      && (@1 == integer_minus_one_node)
>>   @0)
>>
>> For both patterns match is same.
>>
>> Decision Tree:
>>                 bit_and
>>                 /        \
>>              @0      @1
>>                            |
>>                         S1,  S2
>
> I think it's worth adding a diagnostic to genmach whenever exactly
> same matches appear.  But I'd say generally we'd support this
> by testing the ifexpr of the next pattern.
>
>> S1 represents <ifexpr, result> of pattern-1, and S2 represents <ifexpr, result>
>> of pattern-2 respectively.
>> S1, S2 would be stored as children of @1 (the last operand of n-ary operator),
>> in dt_operand::kids vector.
>>
>> The code would be generated as:
>>
>> matching code.
>> if (! pattern-1 ifexpr condition)
>>   goto simplify2;  // next pattern with the same "match" operand.
>> transform code for pattern 1
>>
>> simplify2:
>> if (! pattern-2 ifexpr condition)
>>   return false;  // last pattern
>> transform code for pattern 2.
>>
>> If matching itself fails, that is neither of the decisions get matched,
>> I believe we can then return false as it cannot match any other pattern ?
>>
>> * patterns needing hacks like cond_expr or GENERIC support
>> I haven't given thought to this yet. I suppose we can look to handle
>> these after adding support for GENERIC. Instead of generating GENERIC
>> matching in
>> gimple_match_and_simplify, could we then call generic_match_and_simplify from
>> within gimple_match_and_simplify ?
>
> Yes (that's what's currently done btw).
>
>> * Tests
>> The patch transformed the following patterns:
>>
>> (match_and_simplify
>>   (negate (bit_not @0))
>>   if (INTEGRAL_TYPE_P (TREE_TYPE (@0)))
>>   (plus @0 { build_int_cst (TREE_TYPE (@0)), 1); }))
>>
>> (match_and_simplify
>>   (negate (negate @0))
>>   @0)
>>
>> I have attached test-case I tried it with (negate.c)
>>
>> * Conclusion
>> Does it sound reasonable ? I am going to be re-writing the
>> decision tree from scratch, but is the basic idea fine ? Or should we
>> take a different approach ?
>>
>> Thanks and Regards,
>> Prathamesh
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